Physics Thermodynamics MDCAT 2018
PMDC Verified Question 51 of 54
If \(C_v = \frac{5}{2} R\), \(C_p\) will be
A
\(\frac{5}{5} R\)
B
\(\frac{7}{2} R\)
C
\(\frac{5}{2} R\)
D
\(\frac{2}{7} R\)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: \(\frac{7}{2} R\)
1. Concept:

Molar specific heat at constant pressure (\(C_p\)) is always greater than molar specific heat at constant volume (\(C_v\)) by an amount equal to the universal gas constant (\(R\)).

2. Formula:

$$C_p - C_v = R$$

3. Solution:

  • Rearrange the relation: \(C_p = C_v + R\).


  • Substitute the given value: \(C_p = \frac{5}{2} R + R\).


  • Calculate the sum: \(C_p = \frac{5}{2} R + \frac{2}{2} R = \frac{7}{2} R\).


4. Why other options are incorrect:

Other options result from incorrect arithmetic or by erroneously subtracting \(R\) instead of adding it.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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